Networks that optimize a trade-off between efficiency and dynamical resilience

Brede, Markus and de Vries, Bert J.M. (2009) Networks that optimize a trade-off between efficiency and dynamical resilience. Physics Letters A, 373, (43), 3910-3914. (doi:10.1016/j.physleta.2009.08.049).


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In this Letter we study networks that have been optimized to realize a trade-off between communication efficiency and dynamical resilience. While the first is related to the average shortest pathlength, we argue that the second can be measured by the largest eigenvalue of the adjacency matrix of the network. Best efficiency is realized in star-like configurations, while enhanced resilience is related to the avoidance of short loops and degree homogeneity. Thus crucially, very efficient networks are not resilient while very resilient networks lack in efficiency. Networks that realize a trade-off between both limiting cases exhibit core-periphery structures, where the average degree of core nodes decreases but core size increases as the weight is gradually shifted from a strong requirement for efficiency and limited resilience towards a smaller requirement for efficiency and a strong demand for resilience. We argue that both, efficiency and resilience are important requirements for network design and highlight how networks can be constructed that allow for both.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.physleta.2009.08.049
ISSNs: 0375-9601 (print)
Keywords: networks, efficiency, resilience, optimization
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Agents, Interactions & Complexity
ePrint ID: 272852
Accepted Date and Publication Date:
19 October 2009Published
Date Deposited: 26 Sep 2011 16:04
Last Modified: 31 Mar 2016 14:22
Further Information:Google Scholar

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